This book investigates adaptive physical-layer beamforming and resource allocation that ensure
reliable data transmission in the multi-antenna broadcast channel. The book provides an
overview of robust optimization techniques and modelling approximations to deal with stochastic
performance metrics. One key contribution of the book is a closed-form description of the
achievable rates with unlimited transmit power for a rank-one channel error model. Additionally
the book provides a concise duality framework to transform mean square error (MSE) based
beamformer designs e.g. quality of service and balancing optimizations into equivalent
uplink filter designs. For the algorithmic solution the book analyses the following paradigm:
transmission to receivers with large MSE targets (low demands) is switched off if the transmit
power is low. The book also studies chance constrained optimizations for limiting the outage
probability. In this context the book provides two novel conservative outage probability
approximations that result in convex beamformer optimizations. To compensate for the remaining
inaccuracy the book introduces a post-processing power allocation. Finally the book applies
the introduced beamformer designs for SatCom where interference from neighboring spotbeams and
channel fading are the main limitations.
